313132211040 has 192 divisors, whose sum is σ = 1076388445440. Its totient is φ = 75885987840.

The previous prime is 313132211027. The next prime is 313132211069. The reversal of 313132211040 is 40112231313.

It is a super-5 number, since 5×313132211040⁵ (a number of 59 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313132210998 and 313132211016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20040351 + ... + 20055969.

It is an arithmetic number, because the mean of its divisors is an integer number (5606189820).

Almost surely, 2^313132211040 is an apocalyptic number.

313132211040 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 313132211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538194222720).

313132211040 is an abundant number, since it is smaller than the sum of its proper divisors (763256234400).

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

313132211040 is a wasteful number, since it uses less digits than its factorization.

313132211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19445 (or 19437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313132211040 its reverse (40112231313), we get a palindrome (353244442353).

The spelling of 313132211040 in words is "three hundred thirteen billion, one hundred thirty-two million, two hundred eleven thousand, forty".