13101310210320 has 120 divisors (see below), whose sum is σ = 44618265087552. Its totient is φ = 3444475910400.

The previous prime is 13101310210319. The next prime is 13101310210321. The reversal of 13101310210320 is 2301201310131.

13101310210320 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 131 + 0 + 210 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (13101310210319) and next prime (13101310210321).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13101310210293 and 13101310210302.

It is not an unprimeable number, because it can be changed into a prime (13101310210321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128091586 + ... + 128193825.

Almost surely, 2^{13101310210320} is an apocalyptic number.

13101310210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101310210320 is an abundant number, since it is smaller than the sum of its proper divisors (31516954877232).

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

13101310210320 is a wasteful number, since it uses less digits than its factorization.

13101310210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256285501 (or 256285492 counting only the distinct ones).

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

Adding to 13101310210320 its reverse (2301201310131), we get a palindrome (15402511520451).

The spelling of 13101310210320 in words is "thirteen trillion, one hundred one billion, three hundred ten million, two hundred ten thousand, three hundred twenty".