101110001013 has 24 divisors (see below), whose sum is σ = 167005861568. Its totient is φ = 57744565632.

The previous prime is 101110001009. The next prime is 101110001059. The reversal of 101110001013 is 310100011101.

It is not a de Polignac number, because 101110001013 - 2² = 101110001009 is a prime.

It is a super-2 number, since 2×101110001013² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110000986 and 101110001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110006013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339631 + ... + 563532.

Almost surely, 2^101110001013 is an apocalyptic number.

It is an amenable number.

101110001013 is a deficient number, since it is larger than the sum of its proper divisors (65895860555).

101110001013 is a wasteful number, since it uses less digits than its factorization.

101110001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904953 (or 904950 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101110001013 its reverse (310100011101), we get a palindrome (411210012114).

The spelling of 101110001013 in words is "one hundred one billion, one hundred ten million, one thousand, thirteen".