13101121121310 has 48 divisors (see below), whose sum is σ = 34983534246336. Its totient is φ = 3399209803584.

The previous prime is 13101121121293. The next prime is 13101121121351. The reversal of 13101121121310 is 1312112110131.

13101121121310 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 21 + 1 + 21 + 310 = 666.

It is a super-2 number, since 2×13101121121310² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1967131974 + ... + 1967138633.

It is an arithmetic number, because the mean of its divisors is an integer number (728823630132).

Almost surely, 2^{13101121121310} is an apocalyptic number.

13101121121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13101121121310 is an abundant number, since it is smaller than the sum of its proper divisors (21882413125026).

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

13101121121310 is a wasteful number, since it uses less digits than its factorization.

13101121121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934270657 (or 3934270654 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13101121121310 its reverse (1312112110131), we get a palindrome (14413233231441).

The spelling of 13101121121310 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred ten".