13300122100331 has 16 divisors (see below), whose sum is σ = 14669978719968. Its totient is φ = 11957337312000.

The previous prime is 13300122100313. The next prime is 13300122100361.

13300122100331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13300122100331 - 2²² = 13300117906027 is a prime.

It is a super-2 number, since 2×13300122100331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13300122100361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6032300 + ... + 7936553.

It is an arithmetic number, because the mean of its divisors is an integer number (916873669998).

Almost surely, 2^{13300122100331} is an apocalyptic number.

13300122100331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13300122100331 is a deficient number, since it is larger than the sum of its proper divisors (1369856619637).

13300122100331 is a wasteful number, since it uses less digits than its factorization.

13300122100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13969822.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1330012 and 2100331, that added together give a palindrome (3430343).

The spelling of 13300122100331 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, one hundred thousand, three hundred thirty-one".