313121142 has 48 divisors (see below), whose sum is σ = 712258560. Its totient is φ = 99284400.

The previous prime is 313121119. The next prime is 313121143. The reversal of 313121142 is 241121313.

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 (313121143) 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, 28167 + ... + 37677.

It is an arithmetic number, because the mean of its divisors is an integer number (14838720).

Almost surely, 2^313121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356129280).

313121142 is an abundant number, since it is smaller than the sum of its proper divisors (399137418).

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

313121142 is a wasteful number, since it uses less digits than its factorization.

313121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9609 (or 9606 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 313121142 is about 17695.2293570894. The cubic root of 313121142 is about 679.0537169305.

Adding to 313121142 its reverse (241121313), we get a palindrome (554242455).

It can be divided in two parts, 3131211 and 42, that added together give a triangular number (3131253 = T₂₅₀₂).

The spelling of 313121142 in words is "three hundred thirteen million, one hundred twenty-one thousand, one hundred forty-two".