103131100401 has 64 divisors (see below), whose sum is σ = 166048911360. Its totient is φ = 55662013440.

The previous prime is 103131100381. The next prime is 103131100409. The reversal of 103131100401 is 104001131301.

It is not a de Polignac number, because 103131100401 - 2³⁴ = 85951231217 is a prime.

It is a super-2 number, since 2×103131100401² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103131100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51282486 + ... + 51284496.

It is an arithmetic number, because the mean of its divisors is an integer number (2594514240).

Almost surely, 2^103131100401 is an apocalyptic number.

It is an amenable number.

103131100401 is a deficient number, since it is larger than the sum of its proper divisors (62917810959).

103131100401 is a wasteful number, since it uses less digits than its factorization.

103131100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103131100401 its reverse (104001131301), we get a palindrome (207132231702).

The spelling of 103131100401 in words is "one hundred three billion, one hundred thirty-one million, one hundred thousand, four hundred one".