10135513500 has 192 divisors, whose sum is σ = 35198392320. Its totient is φ = 2215910400.

The previous prime is 10135513471. The next prime is 10135513517. The reversal of 10135513500 is 531553101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220516 + ... + 262484.

It is an arithmetic number, because the mean of its divisors is an integer number (183324960).

Almost surely, 2^10135513500 is an apocalyptic number.

10135513500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599196160).

10135513500 is an abundant number, since it is smaller than the sum of its proper divisors (25062878820).

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

10135513500 is a wasteful number, since it uses less digits than its factorization.

10135513500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42021 (or 42009 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The spelling of 10135513500 in words is "ten billion, one hundred thirty-five million, five hundred thirteen thousand, five hundred".