103314000031 has 24 divisors (see below), whose sum is σ = 121220668800. Its totient is φ = 87725206800.

The previous prime is 103313999977. The next prime is 103314000133. The reversal of 103314000031 is 130000413301.

It is not a de Polignac number, because 103314000031 - 2⁷ = 103313999903 is a prime.

It is a super-2 number, since 2×103314000031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103313999969 and 103314000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314000331) 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, 153241 + ... + 479698.

It is an arithmetic number, because the mean of its divisors is an integer number (5050861200).

Almost surely, 2^103314000031 is an apocalyptic number.

103314000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103314000031 is a deficient number, since it is larger than the sum of its proper divisors (17906668769).

103314000031 is a wasteful number, since it uses less digits than its factorization.

103314000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633051 (or 633040 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103314000031 its reverse (130000413301), we get a palindrome (233314413332).

The spelling of 103314000031 in words is "one hundred three billion, three hundred fourteen million, thirty-one", and thus it is an aban number.