101113003310033 has 64 divisors (see below), whose sum is σ = 119539126232064. Its totient is φ = 84317054976000.

The previous prime is 101113003309973. The next prime is 101113003310071. The reversal of 101113003310033 is 330013300311101.

It is not a de Polignac number, because 101113003310033 - 2²⁶ = 101112936201169 is a prime.

It is a super-2 number, since 2×101113003310033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113003309987 and 101113003310014.

It is not an unprimeable number, because it can be changed into a prime (101113003310233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30520071785 + ... + 30520075097.

It is an arithmetic number, because the mean of its divisors is an integer number (1867798847376).

Almost surely, 2^{101113003310033} is an apocalyptic number.

101113003310033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101113003310033 is a deficient number, since it is larger than the sum of its proper divisors (18426122922031).

101113003310033 is a wasteful number, since it uses less digits than its factorization.

101113003310033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 101113003310033 its reverse (330013300311101), we get a palindrome (431126303621134).

The spelling of 101113003310033 in words is "one hundred one trillion, one hundred thirteen billion, three million, three hundred ten thousand, thirty-three".