3131144103120 has 160 divisors (see below), whose sum is σ = 10611638668800. Its totient is φ = 757439531520.

The previous prime is 3131144103067. The next prime is 3131144103127. The reversal of 3131144103120 is 213014411313.

It is a happy number.

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 (3131144103127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36970 + ... + 2502729.

It is an arithmetic number, because the mean of its divisors is an integer number (66322741680).

Almost surely, 2^{3131144103120} is an apocalyptic number.

3131144103120 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 3131144103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305819334400).

3131144103120 is an abundant number, since it is smaller than the sum of its proper divisors (7480494565680).

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

3131144103120 is a wasteful number, since it uses less digits than its factorization.

3131144103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540193 (or 2540187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 3131144103120 its reverse (213014411313), we get a palindrome (3344158514433).

The spelling of 3131144103120 in words is "three trillion, one hundred thirty-one billion, one hundred forty-four million, one hundred three thousand, one hundred twenty".