100102032013 has 2 divisors, whose sum is σ = 100102032014. Its totient is φ = 100102032012.

The previous prime is 100102031999. The next prime is 100102032047. The reversal of 100102032013 is 310230201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88981696804 + 11120335209 = 298298^2 + 105453^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102032013 - 2⁹ = 100102031501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102031984 and 100102032002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102032313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051016006 + 50051016007.

It is an arithmetic number, because the mean of its divisors is an integer number (50051016007).

Almost surely, 2^100102032013 is an apocalyptic number.

It is an amenable number.

100102032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102032013 is an equidigital number, since it uses as much as digits as its factorization.

100102032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100102032013 its reverse (310230201001), we get a palindrome (410332233014).

The spelling of 100102032013 in words is "one hundred billion, one hundred two million, thirty-two thousand, thirteen".