314400131013 has 8 divisors (see below), whose sum is σ = 419527936000. Its totient is φ = 209436206688.

The previous prime is 314400131009. The next prime is 314400131021. The reversal of 314400131013 is 310131004413.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 314400131013 - 2² = 314400131009 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 (314400131083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40965688 + ... + 40973361.

It is an arithmetic number, because the mean of its divisors is an integer number (52440992000).

Almost surely, 2^314400131013 is an apocalyptic number.

It is an amenable number.

314400131013 is a deficient number, since it is larger than the sum of its proper divisors (105127804987).

314400131013 is a wasteful number, since it uses less digits than its factorization.

314400131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81940331.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 314400131013 its reverse (310131004413), we get a palindrome (624531135426).

The spelling of 314400131013 in words is "three hundred fourteen billion, four hundred million, one hundred thirty-one thousand, thirteen".