13010021121312 has 72 divisors (see below), whose sum is σ = 37001771089920. Its totient is φ = 4336143477120.

The previous prime is 13010021121299. The next prime is 13010021121323. The reversal of 13010021121312 is 21312112001031.

13010021121312 is a `hidden beast` number, since 130 + 10 + 0 + 211 + 2 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398512 + ... + 5116527.

It is an arithmetic number, because the mean of its divisors is an integer number (513913487360).

Almost surely, 2^{13010021121312} is an apocalyptic number.

13010021121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13010021121312 is an abundant number, since it is smaller than the sum of its proper divisors (23991749968608).

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

13010021121312 is a wasteful number, since it uses less digits than its factorization.

13010021121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523246 (or 5523235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13010021121312 its reverse (21312112001031), we get a palindrome (34322133122343).

The spelling of 13010021121312 in words is "thirteen trillion, ten billion, twenty-one million, one hundred twenty-one thousand, three hundred twelve".