120313033100 has 288 divisors, whose sum is σ = 301949007360. Its totient is φ = 41358470400.

The previous prime is 120313033013. The next prime is 120313033111. The reversal of 120313033100 is 1330313021.

It is a super-2 number, since 2×120313033100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 918420035 + ... + 918420165.

Almost surely, 2^120313033100 is an apocalyptic number.

120313033100 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 120313033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150974503680).

120313033100 is an abundant number, since it is smaller than the sum of its proper divisors (181635974260).

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

120313033100 is a wasteful number, since it uses less digits than its factorization.

120313033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 120313033100 its reverse (1330313021), we get a palindrome (121643346121).

The spelling of 120313033100 in words is "one hundred twenty billion, three hundred thirteen million, thirty-three thousand, one hundred".