131213101034001 has 24 divisors (see below), whose sum is σ = 208247085846624. Its totient is φ = 73235219178240.

The previous prime is 131213101033991. The next prime is 131213101034033. The reversal of 131213101034001 is 100430101312131.

It is not a de Polignac number, because 131213101034001 - 2⁹ = 131213101033489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131213101024001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10379134720 + ... + 10379147361.

It is an arithmetic number, because the mean of its divisors is an integer number (8676961910276).

Almost surely, 2^{131213101034001} is an apocalyptic number.

It is an amenable number.

131213101034001 is a deficient number, since it is larger than the sum of its proper divisors (77033984812623).

131213101034001 is a wasteful number, since it uses less digits than its factorization.

131213101034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20758282141 (or 20758282134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131213101034001 its reverse (100430101312131), we get a palindrome (231643202346132).

The spelling of 131213101034001 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred one million, thirty-four thousand, one".