3100400013 has 16 divisors (see below), whose sum is σ = 4178370560. Its totient is φ = 2044723824.

The previous prime is 3100399999. The next prime is 3100400021. The reversal of 3100400013 is 3100040013.

3100400013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3100400013 - 2⁶ = 3100399949 is a prime.

It is a super-2 number, since 2×3100400013² = 19224960481220800338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100400113) 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, 323748 + ... + 333186.

It is an arithmetic number, because the mean of its divisors is an integer number (261148160).

Almost surely, 2^3100400013 is an apocalyptic number.

It is an amenable number.

3100400013 is a deficient number, since it is larger than the sum of its proper divisors (1077970547).

3100400013 is a wasteful number, since it uses less digits than its factorization.

3100400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10608.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3100400013 is about 55681.2357352098. The cubic root of 3100400013 is about 1458.1624491347.

Adding to 3100400013 its reverse (3100040013), we get a palindrome (6200440026).

Subtracting from 3100400013 its reverse (3100040013), we obtain a square (360000 = 600²).

The spelling of 3100400013 in words is "three billion, one hundred million, four hundred thousand, thirteen".