10013323011120 has 240 divisors, whose sum is σ = 39507111195552. Its totient is φ = 2240743587840.

The previous prime is 10013323011113. The next prime is 10013323011137. The reversal of 10013323011120 is 2111032331001.

10013323011120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 301 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10013323011093 and 10013323011102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48524289 + ... + 48730208.

Almost surely, 2^{10013323011120} is an apocalyptic number.

10013323011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013323011120 is an abundant number, since it is smaller than the sum of its proper divisors (29493788184432).

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

10013323011120 is a wasteful number, since it uses less digits than its factorization.

10013323011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97254540 (or 97254531 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10013323011120 its reverse (2111032331001), we get a palindrome (12124355342121).

The spelling of 10013323011120 in words is "ten trillion, thirteen billion, three hundred twenty-three million, eleven thousand, one hundred twenty".