101333113303120 has 40 divisors (see below), whose sum is σ = 236820211203816. Its totient is φ = 40323228499968.

The previous prime is 101333113303069. The next prime is 101333113303127. The reversal of 101333113303120 is 21303311333101.

It can be written as a sum of positive squares in 4 ways, for example, as 10109372866576 + 91223740436544 = 3179524^2 + 9551112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333113303127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3281497297 + ... + 3281528176.

Almost surely, 2^{101333113303120} is an apocalyptic number.

101333113303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101333113303120 is an abundant number, since it is smaller than the sum of its proper divisors (135487097900696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101333113303120 is a wasteful number, since it uses less digits than its factorization.

101333113303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563025679 (or 6563025673 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 101333113303120 its reverse (21303311333101), we get a palindrome (122636424636221).

The spelling of 101333113303120 in words is "one hundred one trillion, three hundred thirty-three billion, one hundred thirteen million, three hundred three thousand, one hundred twenty".