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131413034031021 = 321749112791367713
BaseRepresentation
bin11101111000010011111011…
…001101100101011110101101
3122020021222000021211110111100
4131320103323031211132231
5114211032343202443041
61143254151525113313
736452164326614121
oct3570237315453655
9566258007743440
10131413034031021
1138965a55863986
12128a4887258839
135843271617742
1424645d3871581
15102d54bb2d6b6
hex7784fb3657ad

131413034031021 has 48 divisors (see below), whose sum is σ = 201551587061760. Its totient is φ = 82222906429440.

The previous prime is 131413034030981. The next prime is 131413034031029. The reversal of 131413034031021 is 120130430314131.

131413034031021 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 0 + 340 + 310 + 2 + 1 = 666.

It is not a de Polignac number, because 131413034031021 - 211 = 131413034028973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413034031029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95398461 + ... + 96766173.

It is an arithmetic number, because the mean of its divisors is an integer number (4198991397120).

Almost surely, 2131413034031021 is an apocalyptic number.

It is an amenable number.

131413034031021 is a deficient number, since it is larger than the sum of its proper divisors (70138553030739).

131413034031021 is a wasteful number, since it uses less digits than its factorization.

131413034031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369506 (or 1369503 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131413034031021 its reverse (120130430314131), we get a palindrome (251543464345152).

The spelling of 131413034031021 in words is "one hundred thirty-one trillion, four hundred thirteen billion, thirty-four million, thirty-one thousand, twenty-one".

Divisors: 1 3 9 17 51 153 491 1279 1473 3837 4419 8347 11511 21743 25041 65229 75123 195687 627989 1367713 1883967 4103139 5651901 10675813 12309417 23251121 32027439 69753363 96082317 209260089 671547083 1749304927 2014641249 5247914781 6043923747 11416300411 15743744343 29738183759 34248901233 89214551277 102746703699 267643653831 858908719157 2576726157471 7730178472413 14601448225669 43804344677007 131413034031021