101011051105613 has 12 divisors (see below), whose sum is σ = 114857251047420. Its totient is φ = 88661737644480.

The previous prime is 101011051105567. The next prime is 101011051105619. The reversal of 101011051105613 is 316501150110101.

It can be written as a sum of positive squares in 2 ways, for example, as 79659230740804 + 21351820364809 = 8925202^2 + 4620803^2 .

It is not a de Polignac number, because 101011051105613 - 2¹⁶ = 101011051040077 is a prime.

It is a super-2 number, since 2×101011051105613² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011051105619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14393135720 + ... + 14393142737.

It is an arithmetic number, because the mean of its divisors is an integer number (9571437587285).

Almost surely, 2^{101011051105613} is an apocalyptic number.

It is an amenable number.

101011051105613 is a deficient number, since it is larger than the sum of its proper divisors (13846199941807).

101011051105613 is a wasteful number, since it uses less digits than its factorization.

101011051105613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28786278508 (or 28786278497 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 26.

The spelling of 101011051105613 in words is "one hundred one trillion, eleven billion, fifty-one million, one hundred five thousand, six hundred thirteen".