313132101012 has 72 divisors (see below), whose sum is σ = 810918684576. Its totient is φ = 101826293184.

The previous prime is 313132101011. The next prime is 313132101013. The reversal of 313132101012 is 210101231313.

It is an interprime number because it is at equal distance from previous prime (313132101011) and next prime (313132101013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313132101011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157898 + ... + 1402494.

It is an arithmetic number, because the mean of its divisors is an integer number (11262759508).

Almost surely, 2^313132101012 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 313132101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405459342288).

313132101012 is an abundant number, since it is smaller than the sum of its proper divisors (497786583564).

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

313132101012 is a wasteful number, since it uses less digits than its factorization.

313132101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245477 (or 245472 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313132101012 its reverse (210101231313), we get a palindrome (523233332325).

It can be divided in two parts, 31313 and 2101012, that multiplied together give a palindrome (65788988756).

The spelling of 313132101012 in words is "three hundred thirteen billion, one hundred thirty-two million, one hundred one thousand, twelve".