31001330100 has 144 divisors (see below), whose sum is σ = 97820683520. Its totient is φ = 7534425600.

The previous prime is 31001330093. The next prime is 31001330111. The reversal of 31001330100 is 103310013.

It is a super-2 number, since 2×31001330100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257790 + ... + 358410.

Almost surely, 2^31001330100 is an apocalyptic number.

31001330100 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 31001330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48910341760).

31001330100 is an abundant number, since it is smaller than the sum of its proper divisors (66819353420).

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

31001330100 is a wasteful number, since it uses less digits than its factorization.

31001330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100730 (or 100723 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31001330100 its reverse (103310013), we get a palindrome (31104640113).

The spelling of 31001330100 in words is "thirty-one billion, one million, three hundred thirty thousand, one hundred".