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131001332223131 = 2944633101209583
BaseRepresentation
bin11101110010010100011111…
…110111110100110010011011
3122011211121100002020122211022
4131302110133313310302123
5114132311212022120011
61142341103050353055
736410351064156116
oct3562243767646233
9564747302218738
10131001332223131
113881739792a077
1212838b2912b78b
1358134ac85b826
14244c6d951357d
1510229a2c678db
hex77251fdf4c9b

131001332223131 has 8 divisors (see below), whose sum is σ = 135521657167680. Its totient is φ = 126481209787072.

The previous prime is 131001332223103. The next prime is 131001332223137. The reversal of 131001332223131 is 131322233100131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131001332223131 - 26 = 131001332223067 is a prime.

It is a super-2 number, since 2×1310013322231312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131001332223131.

It is not an unprimeable number, because it can be changed into a prime (131001332223137) 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 7 ways as a sum of consecutive naturals, for example, 49310435 + ... + 51899148.

It is an arithmetic number, because the mean of its divisors is an integer number (16940207145960).

Almost surely, 2131001332223131 is an apocalyptic number.

131001332223131 is a deficient number, since it is larger than the sum of its proper divisors (4520324944549).

131001332223131 is a wasteful number, since it uses less digits than its factorization.

131001332223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101254245.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 131001332223131 its reverse (131322233100131), we get a palindrome (262323565323262).

The spelling of 131001332223131 in words is "one hundred thirty-one trillion, one billion, three hundred thirty-two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 29 44633 1294357 101209583 2935077907 4517287318039 131001332223131