101003133031120 has 160 divisors (see below), whose sum is σ = 238517258918400. Its totient is φ = 39770412244992.

The previous prime is 101003133031093. The next prime is 101003133031217. The reversal of 101003133031120 is 21130331300101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12208763304 + ... + 12208771576.

It is an arithmetic number, because the mean of its divisors is an integer number (1490732868240).

Almost surely, 2^{101003133031120} is an apocalyptic number.

101003133031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101003133031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119258629459200).

101003133031120 is an abundant number, since it is smaller than the sum of its proper divisors (137514125887280).

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

101003133031120 is a wasteful number, since it uses less digits than its factorization.

101003133031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13917 (or 13911 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101003133031120 its reverse (21130331300101), we get a palindrome (122133464331221).

The spelling of 101003133031120 in words is "one hundred one trillion, three billion, one hundred thirty-three million, thirty-one thousand, one hundred twenty".