101003133120 has 56 divisors (see below), whose sum is σ = 320684950704. Its totient is φ = 26934168576.

The previous prime is 101003133037. The next prime is 101003133157. The reversal of 101003133120 is 21331300101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101003133120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52604839 + ... + 52606758.

Almost surely, 2^101003133120 is an apocalyptic number.

101003133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003133120 is an abundant number, since it is smaller than the sum of its proper divisors (219681817584).

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

101003133120 is a wasteful number, since it uses less digits than its factorization.

101003133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105211617 (or 105211607 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101003133120 its reverse (21331300101), we get a palindrome (122334433221).

The spelling of 101003133120 in words is "one hundred one billion, three million, one hundred thirty-three thousand, one hundred twenty".