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131313033130213 = 11311372928048817
BaseRepresentation
bin11101110110110110110010…
…101100011011000011100101
3122012221101220001111100120101
4131312312302230123003211
5114202413042440131323
61143140212530504101
736442024242154264
oct3566666254330345
9565841801440511
10131313033130213
11389275a9973010
1212889419135031
1358369c5880c9c
14245d8286585db
15102ab477b6dad
hex776db2b1b0e5

131313033130213 has 16 divisors (see below), whose sum is σ = 147882344117760. Its totient is φ = 115516243814400.

The previous prime is 131313033130187. The next prime is 131313033130217. The reversal of 131313033130213 is 312031330313131.

It is a de Polignac number, because none of the positive numbers 2k-131313033130213 is a prime.

It is a super-2 number, since 2×1313130331302132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313033130217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9342820 + ... + 18705997.

It is an arithmetic number, because the mean of its divisors is an integer number (9242646507360).

Almost surely, 2131313033130213 is an apocalyptic number.

It is an amenable number.

131313033130213 is a deficient number, since it is larger than the sum of its proper divisors (16569310987547).

131313033130213 is a wasteful number, since it uses less digits than its factorization.

131313033130213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28062588.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 131313033130213 its reverse (312031330313131), we get a palindrome (443344363443344).

The spelling of 131313033130213 in words is "one hundred thirty-one trillion, three hundred thirteen billion, thirty-three million, one hundred thirty thousand, two hundred thirteen".

Divisors: 1 11 31 341 13729 151019 425599 4681589 28048817 308536987 869513327 9564646597 385082208593 4235904294523 11937548466383 131313033130213