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13213001200131 = 3229374381017
BaseRepresentation
bin1100000001000110010000…
…1111100011001000000011
31201210011001202211121111200
43000101210033203020003
53212440211301401011
644033545143312243
72532415326052065
oct300214417431003
951704052747450
1013213001200131
114234669795a97
12159492744b683
1374ac996a9605
14339726aa5735
1517da791e8856
hexc04643e3203

13213001200131 has 48 divisors (see below), whose sum is σ = 19793889984960. Its totient is φ = 8493368747136.

The previous prime is 13213001200117. The next prime is 13213001200151. The reversal of 13213001200131 is 13100210031231.

13213001200131 is a `hidden beast` number, since 1 + 32 + 1 + 300 + 1 + 200 + 131 = 666.

It is not a de Polignac number, because 13213001200131 - 211 = 13213001198083 is a prime.

It is a super-2 number, since 2×132130012001312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13213001200151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163048735 + ... + 163129751.

It is an arithmetic number, because the mean of its divisors is an integer number (412372708020).

Almost surely, 213213001200131 is an apocalyptic number.

13213001200131 is a deficient number, since it is larger than the sum of its proper divisors (6580888784829).

13213001200131 is an frugal number, since it uses more digits than its factorization.

13213001200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81853 (or 81792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13213001200131 its reverse (13100210031231), we get a palindrome (26313211231362).

The spelling of 13213001200131 in words is "thirteen trillion, two hundred thirteen billion, one million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 29 87 261 743 841 2229 2523 6687 7569 21547 24389 64641 73167 81017 193923 219501 243051 624863 729153 1874589 2349493 5623767 7048479 18121027 21145437 54363081 60195631 68135297 163089243 180586893 204405891 541760679 613217673 1745673299 1975923613 5237019897 5927770839 15711059691 17783312517 50624525671 151873577013 455620731039 1468111244459 4404333733377 13213001200131