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131133031001333 = 37791511493198997
BaseRepresentation
bin11101110100001111001001…
…101110110010110011110101
3122012022012021101201210001022
4131310033021232302303311
5114141440421414020313
61142521403252310525
736423022516256444
oct3564171156626365
9565265241653038
10131133031001333
113886822a407429
121285a562912445
135822a3a67275a
142454c30466d5b
15102610ecdcc08
hex7743c9bb2cf5

131133031001333 has 32 divisors (see below), whose sum is σ = 137377775784960. Its totient is φ = 125055135878400.

The previous prime is 131133031001321. The next prime is 131133031001359. The reversal of 131133031001333 is 333100130331131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131133031001333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133031001933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658870391 + ... + 659069387.

It is an arithmetic number, because the mean of its divisors is an integer number (4293055493280).

Almost surely, 2131133031001333 is an apocalyptic number.

It is an amenable number.

131133031001333 is a deficient number, since it is larger than the sum of its proper divisors (6244744783627).

131133031001333 is a wasteful number, since it uses less digits than its factorization.

131133031001333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200757.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 131133031001333 its reverse (333100130331131), we get a palindrome (464233161332464).

The spelling of 131133031001333 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, thirty-one million, one thousand, three hundred thirty-three".

Divisors: 1 37 79 151 1493 2923 5587 11929 55241 117947 198997 225443 441373 4364039 7362889 8341391 15720763 17809997 30048547 297102521 581668231 658969889 1111796239 2373835213 10992793277 23471099159 44862480671 87831902881 868430668883 1659911784827 3544135973009 131133031001333