31403133312 has 128 divisors (see below), whose sum is σ = 89197653600. Its totient is φ = 9754214400.

The previous prime is 31403133301. The next prime is 31403133319. The reversal of 31403133312 is 21333130413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31403133312² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31403133319) 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 15 ways as a sum of consecutive naturals, for example, 635514 + ... + 683142.

Almost surely, 2^31403133312 is an apocalyptic number.

31403133312 is a gapful number since it is divisible by the number (32) 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 31403133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44598826800).

31403133312 is an abundant number, since it is smaller than the sum of its proper divisors (57794520288).

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

31403133312 is a wasteful number, since it uses less digits than its factorization.

31403133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47764 (or 47752 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31403133312 its reverse (21333130413), we get a palindrome (52736263725).

The spelling of 31403133312 in words is "thirty-one billion, four hundred three million, one hundred thirty-three thousand, three hundred twelve".