30331132010100 has 108 divisors (see below), whose sum is σ = 95073981024204. Its totient is φ = 8088069373440.

The previous prime is 30331132010071. The next prime is 30331132010111. The reversal of 30331132010100 is 101023113303.

It is a happy number.

30331132010100 is a `hidden beast` number, since 3 + 0 + 331 + 1 + 320 + 1 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2837762608356 + 27493369401744 = 1684566^2 + 5243412^2 .

It is a super-2 number, since 2×30331132010100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32057002 + ... + 32989598.

It is an arithmetic number, because the mean of its divisors is an integer number (880314639113).

Almost surely, 2^{30331132010100} is an apocalyptic number.

30331132010100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30331132010100 is an abundant number, since it is smaller than the sum of its proper divisors (64742849014104).

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

30331132010100 is a wasteful number, since it uses less digits than its factorization.

30331132010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968754 (or 968744 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30331132010100 its reverse (101023113303), we get a palindrome (30432155123403).

The spelling of 30331132010100 in words is "thirty trillion, three hundred thirty-one billion, one hundred thirty-two million, ten thousand, one hundred".