31021004100 has 144 divisors (see below), whose sum is σ = 92251248320. Its totient is φ = 8043840000.

The previous prime is 31021004083. The next prime is 31021004117. The reversal of 31021004100 is 140012013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31021004083) and next prime (31021004117).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948850 + ... + 2959350.

Almost surely, 2^31021004100 is an apocalyptic number.

31021004100 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 31021004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46125624160).

31021004100 is an abundant number, since it is smaller than the sum of its proper divisors (61230244220).

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

31021004100 is a wasteful number, since it uses less digits than its factorization.

31021004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31021004100 its reverse (140012013), we get a palindrome (31161016113).

The spelling of 31021004100 in words is "thirty-one billion, twenty-one million, four thousand, one hundred".