10135131053152 has 144 divisors (see below), whose sum is σ = 24607582489728. Its totient is φ = 4089901455360.

The previous prime is 10135131053141. The next prime is 10135131053153. The reversal of 10135131053152 is 25135013153101.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135131053153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019173 + ... + 4616164.

It is an arithmetic number, because the mean of its divisors is an integer number (170885989512).

Almost surely, 2^{10135131053152} is an apocalyptic number.

It is an amenable number.

10135131053152 is an abundant number, since it is smaller than the sum of its proper divisors (14472451436576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135131053152 is a wasteful number, since it uses less digits than its factorization.

10135131053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635429 (or 5635414 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 31.

The spelling of 10135131053152 in words is "ten trillion, one hundred thirty-five billion, one hundred thirty-one million, fifty-three thousand, one hundred fifty-two".