100103132013 has 16 divisors (see below), whose sum is σ = 135860689536. Its totient is φ = 65548085760.

The previous prime is 100103131951. The next prime is 100103132023. The reversal of 100103132013 is 310231301001.

It is not a de Polignac number, because 100103132013 - 2⁶ = 100103131949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100103131983 and 100103132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103132023) 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, 895545 + ... + 1001102.

It is an arithmetic number, because the mean of its divisors is an integer number (8491293096).

Almost surely, 2^100103132013 is an apocalyptic number.

It is an amenable number.

100103132013 is a deficient number, since it is larger than the sum of its proper divisors (35757557523).

100103132013 is a wasteful number, since it uses less digits than its factorization.

100103132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896964.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100103132013 its reverse (310231301001), we get a palindrome (410334433014).

The spelling of 100103132013 in words is "one hundred billion, one hundred three million, one hundred thirty-two thousand, thirteen".