10500055006131 has 32 divisors (see below), whose sum is σ = 15772559208000. Its totient is φ = 6902468296704.

The previous prime is 10500055006097. The next prime is 10500055006201. The reversal of 10500055006131 is 13160055000501.

10500055006131 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 0 + 550 + 0 + 61 + 3 + 1 = 666.

It is not a de Polignac number, because 10500055006131 - 2¹⁷ = 10500054875059 is a prime.

It is a super-2 number, since 2×10500055006131² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10500055006095 and 10500055006104.

It is not an unprimeable number, because it can be changed into a prime (10500054006131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7493155 + ... + 8783363.

It is an arithmetic number, because the mean of its divisors is an integer number (492892475250).

Almost surely, 2^{10500055006131} is an apocalyptic number.

10500055006131 is a deficient number, since it is larger than the sum of its proper divisors (5272504201869).

10500055006131 is a wasteful number, since it uses less digits than its factorization.

10500055006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294420 (or 1294414 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 10500055006131 in words is "ten trillion, five hundred billion, fifty-five million, six thousand, one hundred thirty-one".