101113033103031 has 16 divisors (see below), whose sum is σ = 137966600266880. Its totient is φ = 65834394040800.

The previous prime is 101113033103023. The next prime is 101113033103063. The reversal of 101113033103031 is 130301330311101.

It is not a de Polignac number, because 101113033103031 - 2³ = 101113033103023 is a prime.

It is a super-2 number, since 2×101113033103031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113033102989 and 101113033103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113033102031) 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, 38305741 + ... + 40860198.

It is an arithmetic number, because the mean of its divisors is an integer number (8622912516680).

Almost surely, 2^{101113033103031} is an apocalyptic number.

101113033103031 is a deficient number, since it is larger than the sum of its proper divisors (36853567163849).

101113033103031 is an equidigital number, since it uses as much as digits as its factorization.

101113033103031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79175886.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 101113033103031 its reverse (130301330311101), we get a palindrome (231414363414132).

The spelling of 101113033103031 in words is "one hundred one trillion, one hundred thirteen billion, thirty-three million, one hundred three thousand, thirty-one".