13957038546213 has 32 divisors (see below), whose sum is σ = 21399633949696. Its totient is φ = 7926044358528.

The previous prime is 13957038546197. The next prime is 13957038546229. The reversal of 13957038546213 is 31264583075931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13957038546197) and next prime (13957038546229).

It is not a de Polignac number, because 13957038546213 - 2⁴ = 13957038546197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13957038546613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61236681 + ... + 61464177.

It is an arithmetic number, because the mean of its divisors is an integer number (668738560928).

It is a 1-persistent number, because it is pandigital, but 2⋅13957038546213 = 27914077092426 is not.

Almost surely, 2^{13957038546213} is an apocalyptic number.

It is an amenable number.

13957038546213 is a deficient number, since it is larger than the sum of its proper divisors (7442595403483).

13957038546213 is a wasteful number, since it uses less digits than its factorization.

13957038546213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245593.

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 13957038546213 in words is "thirteen trillion, nine hundred fifty-seven billion, thirty-eight million, five hundred forty-six thousand, two hundred thirteen".