13000211102312 has 256 divisors, whose sum is σ = 30130071552000. Its totient is φ = 5132054753280.

The previous prime is 13000211102233. The next prime is 13000211102381. The reversal of 13000211102312 is 21320111200031.

It is a super-2 number, since 2×13000211102312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17496919013 + ... + 17496919755.

It is an arithmetic number, because the mean of its divisors is an integer number (117695592000).

Almost surely, 2^{13000211102312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000211102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065035776000).

13000211102312 is an abundant number, since it is smaller than the sum of its proper divisors (17129860449688).

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

13000211102312 is a wasteful number, since it uses less digits than its factorization.

13000211102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13000211102312 its reverse (21320111200031), we get a palindrome (34320322302343).

The spelling of 13000211102312 in words is "thirteen trillion, two hundred eleven million, one hundred two thousand, three hundred twelve".