101051106013 has 48 divisors (see below), whose sum is σ = 123224564736. Its totient is φ = 81692916480.

The previous prime is 101051106011. The next prime is 101051106041. The reversal of 101051106013 is 310601150101.

It is not a de Polignac number, because 101051106013 - 2¹ = 101051106011 is a prime.

It is a super-2 number, since 2×101051106013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051106011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92962756 + ... + 92963842.

It is an arithmetic number, because the mean of its divisors is an integer number (2567178432).

Almost surely, 2^101051106013 is an apocalyptic number.

101051106013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101051106013 is a deficient number, since it is larger than the sum of its proper divisors (22173458723).

101051106013 is a wasteful number, since it uses less digits than its factorization.

101051106013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 101051106013 its reverse (310601150101), we get a palindrome (411652256114).

The spelling of 101051106013 in words is "one hundred one billion, fifty-one million, one hundred six thousand, thirteen".