13100332313211 has 128 divisors (see below), whose sum is σ = 20859875205120. Its totient is φ = 7208906342400.

The previous prime is 13100332313177. The next prime is 13100332313219. The reversal of 13100332313211 is 11231323300131.

It is not a de Polignac number, because 13100332313211 - 2⁷ = 13100332313083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13100332313219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4871821755 + ... + 4871824443.

It is an arithmetic number, because the mean of its divisors is an integer number (162967775040).

Almost surely, 2^{13100332313211} is an apocalyptic number.

13100332313211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13100332313211 is a deficient number, since it is larger than the sum of its proper divisors (7759542891909).

13100332313211 is a wasteful number, since it uses less digits than its factorization.

13100332313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13100332313211 its reverse (11231323300131), we get a palindrome (24331655613342).

The spelling of 13100332313211 in words is "thirteen trillion, one hundred billion, three hundred thirty-two million, three hundred thirteen thousand, two hundred eleven".