120031133010 has 128 divisors (see below), whose sum is σ = 297442575360. Its totient is φ = 30980966400.

The previous prime is 120031132987. The next prime is 120031133029. The reversal of 120031133010 is 10331130021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97665076 + ... + 97666304.

It is an arithmetic number, because the mean of its divisors is an integer number (2323770120).

Almost surely, 2^120031133010 is an apocalyptic number.

120031133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120031133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721287680).

120031133010 is an abundant number, since it is smaller than the sum of its proper divisors (177411442350).

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

120031133010 is a wasteful number, since it uses less digits than its factorization.

120031133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844.

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

Adding to 120031133010 its reverse (10331130021), we get a palindrome (130362263031).

It can be divided in two parts, 1200311 and 33010, that added together give a palindrome (1233321).

The spelling of 120031133010 in words is "one hundred twenty billion, thirty-one million, one hundred thirty-three thousand, ten".