10318513920 has 1152 divisors, whose sum is σ = 43514634240. Its totient is φ = 2043740160.

The previous prime is 10318513913. The next prime is 10318513937. The reversal of 10318513920 is 2931581301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239965419 + ... + 239965461.

It is an arithmetic number, because the mean of its divisors is an integer number (37773120).

Almost surely, 2^10318513920 is an apocalyptic number.

10318513920 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 10318513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757317120).

10318513920 is an abundant number, since it is smaller than the sum of its proper divisors (33196120320).

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

10318513920 is a wasteful number, since it uses less digits than its factorization.

10318513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10318513920 in words is "ten billion, three hundred eighteen million, five hundred thirteen thousand, nine hundred twenty".