101030133120 has 128 divisors (see below), whose sum is σ = 368038391040. Its totient is φ = 23092598784.

The previous prime is 101030133101. The next prime is 101030133121. The reversal of 101030133120 is 21331030101.

It is a tau number, because it is divible by the number of its divisors (128).

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 101030133120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030133121) 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, 3745122 + ... + 3772001.

It is an arithmetic number, because the mean of its divisors is an integer number (2875299930).

Almost surely, 2^101030133120 is an apocalyptic number.

101030133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101030133120 is an abundant number, since it is smaller than the sum of its proper divisors (267008257920).

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

101030133120 is an equidigital number, since it uses as much as digits as its factorization.

101030133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517152 (or 7517140 counting only the distinct ones).

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

Adding to 101030133120 its reverse (21331030101), we get a palindrome (122361163221).

The spelling of 101030133120 in words is "one hundred one billion, thirty million, one hundred thirty-three thousand, one hundred twenty".