101000601013 has 16 divisors (see below), whose sum is σ = 112765294656. Its totient is φ = 89861477760.

The previous prime is 101000601011. The next prime is 101000601089. The reversal of 101000601013 is 310106000101.

It is a happy number.

It is not a de Polignac number, because 101000601013 - 2¹ = 101000601011 is a prime.

It is a super-2 number, since 2×101000601013² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000600984 and 101000601002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000601011) 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, 1097295 + ... + 1185772.

It is an arithmetic number, because the mean of its divisors is an integer number (7047830916).

Almost surely, 2^101000601013 is an apocalyptic number.

101000601013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101000601013 is a deficient number, since it is larger than the sum of its proper divisors (11764693643).

101000601013 is a wasteful number, since it uses less digits than its factorization.

101000601013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283204.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101000601013 its reverse (310106000101), we get a palindrome (411106601114).

The spelling of 101000601013 in words is "one hundred one billion, six hundred one thousand, thirteen".