10121513132320 has 48 divisors (see below), whose sum is σ = 23912331763320. Its totient is φ = 4048561741824.

The previous prime is 10121513132309. The next prime is 10121513132407. The reversal of 10121513132320 is 2323131512101.

It can be written as a sum of positive squares in 4 ways, for example, as 10121280508816 + 232623504 = 3181396^2 + 15252^2 .

It is a super-4 number, since 4×10121513132320⁴ (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17516176 + ... + 18084784.

Almost surely, 2^{10121513132320} is an apocalyptic number.

10121513132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121513132320 is an abundant number, since it is smaller than the sum of its proper divisors (13790818631000).

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

10121513132320 is a wasteful number, since it uses less digits than its factorization.

10121513132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679877 (or 679869 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 10121513132320 its reverse (2323131512101), we get a palindrome (12444644644421).

The spelling of 10121513132320 in words is "ten trillion, one hundred twenty-one billion, five hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".