32120320013100 has 432 divisors, whose sum is σ = 110712587940864. Its totient is φ = 7724564352000.

The previous prime is 32120320013071. The next prime is 32120320013137. The reversal of 32120320013100 is 131002302123.

32120320013100 is a `hidden beast` number, since 3 + 212 + 0 + 320 + 0 + 131 + 0 + 0 = 666.

It is a super-2 number, since 2×32120320013100² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 625090009 + ... + 625141391.

It is an arithmetic number, because the mean of its divisors is an integer number (256279138752).

Almost surely, 2^{32120320013100} is an apocalyptic number.

32120320013100 is a gapful number since it is divisible by the number (30) 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 32120320013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55356293970432).

32120320013100 is an abundant number, since it is smaller than the sum of its proper divisors (78592267927764).

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

32120320013100 is a wasteful number, since it uses less digits than its factorization.

32120320013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51918 (or 51908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32120320013100 its reverse (131002302123), we get a palindrome (32251322315223).

The spelling of 32120320013100 in words is "thirty-two trillion, one hundred twenty billion, three hundred twenty million, thirteen thousand, one hundred".