100000101013 has 2 divisors, whose sum is σ = 100000101014. Its totient is φ = 100000101012.

The previous prime is 100000100983. The next prime is 100000101067. The reversal of 100000101013 is 310101000001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52101714564 + 47898386449 = 228258^2 + 218857^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000101013 is a prime.

It is a super-2 number, since 2×100000101013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000100987 and 100000101005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000101713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050506 + 50000050507.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050507).

Almost surely, 2^100000101013 is an apocalyptic number.

It is an amenable number.

100000101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000101013 is an equidigital number, since it uses as much as digits as its factorization.

100000101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 100000101013 its reverse (310101000001), we get a palindrome (410101101014).

The spelling of 100000101013 in words is "one hundred billion, one hundred one thousand, thirteen".