135312113510 has 64 divisors (see below), whose sum is σ = 292408704000. Its totient is φ = 44077748352.

The previous prime is 135312113483. The next prime is 135312113537. The reversal of 135312113510 is 15311213531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135312113483) and next prime (135312113537).

It is a self number, because there is not a number n which added to its sum of digits gives 135312113510.

It is a congruent number.

It is an unprimeable number.

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, 42140 + ... + 521919.

It is an arithmetic number, because the mean of its divisors is an integer number (4568886000).

Almost surely, 2^135312113510 is an apocalyptic number.

135312113510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135312113510 is an abundant number, since it is smaller than the sum of its proper divisors (157096590490).

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

135312113510 is a wasteful number, since it uses less digits than its factorization.

135312113510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564245.

The product of its (nonzero) digits is 1350, while the sum is 26.

It can be divided in two parts, 1353121 and 13510, that added together give a palindrome (1366631).

The spelling of 135312113510 in words is "one hundred thirty-five billion, three hundred twelve million, one hundred thirteen thousand, five hundred ten".