314402333013 has 12 divisors (see below), whose sum is σ = 456441968268. Its totient is φ = 208537586880.

The previous prime is 314402332999. The next prime is 314402333017. The reversal of 314402333013 is 310333204413.

314402333013 is a `hidden beast` number, since 314 + 4 + 0 + 2 + 3 + 330 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 294308420004 + 20093913009 = 542502^2 + 141753^2 .

It is not a de Polignac number, because 314402333013 - 2⁴ = 314402332997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314402333017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88662168 + ... + 88665713.

It is an arithmetic number, because the mean of its divisors is an integer number (38036830689).

Almost surely, 2^314402333013 is an apocalyptic number.

It is an amenable number.

314402333013 is a deficient number, since it is larger than the sum of its proper divisors (142039635255).

314402333013 is a wasteful number, since it uses less digits than its factorization.

314402333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177328084 (or 177328081 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 314402333013 its reverse (310333204413), we get a palindrome (624735537426).

The spelling of 314402333013 in words is "three hundred fourteen billion, four hundred two million, three hundred thirty-three thousand, thirteen".