31003230132100 has 288 divisors, whose sum is σ = 69815435526144. Its totient is φ = 11943970214400.

The previous prime is 31003230132071. The next prime is 31003230132107. The reversal of 31003230132100 is 123103230013.

It is a super-2 number, since 2×31003230132100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31003230132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67252125870 + ... + 67252126330.

It is an arithmetic number, because the mean of its divisors is an integer number (242414706688).

Almost surely, 2^{31003230132100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31003230132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34907717763072).

31003230132100 is an abundant number, since it is smaller than the sum of its proper divisors (38812205394044).

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

31003230132100 is a wasteful number, since it uses less digits than its factorization.

31003230132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 31003230132100 its reverse (123103230013), we get a palindrome (31126333362113).

The spelling of 31003230132100 in words is "thirty-one trillion, three billion, two hundred thirty million, one hundred thirty-two thousand, one hundred".