103131413301 has 24 divisors (see below), whose sum is σ = 158067240640. Its totient is φ = 58591230336.

The previous prime is 103131413249. The next prime is 103131413383. The reversal of 103131413301 is 103314131301.

It is not a de Polignac number, because 103131413301 - 2¹⁷ = 103131282229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131403301) 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 23 ways as a sum of consecutive naturals, for example, 546465 + ... + 710553.

Almost surely, 2^103131413301 is an apocalyptic number.

It is an amenable number.

103131413301 is a deficient number, since it is larger than the sum of its proper divisors (54935827339).

103131413301 is an equidigital number, since it uses as much as digits as its factorization.

103131413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164445 (or 164272 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103131413301 its reverse (103314131301), we get a palindrome (206445544602).

The spelling of 103131413301 in words is "one hundred three billion, one hundred thirty-one million, four hundred thirteen thousand, three hundred one".