1031313121440 has 288 divisors, whose sum is σ = 3866914054080. Its totient is φ = 230246424576.

The previous prime is 1031313121429. The next prime is 1031313121507. The reversal of 1031313121440 is 441213131301.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1031313121440.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501496 + ... + 1521224.

It is an arithmetic number, because the mean of its divisors is an integer number (13426784910).

Almost surely, 2^{1031313121440} is an apocalyptic number.

1031313121440 is a gapful number since it is divisible by the number (10) 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 1031313121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933457027040).

1031313121440 is an abundant number, since it is smaller than the sum of its proper divisors (2835600932640).

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

1031313121440 is a wasteful number, since it uses less digits than its factorization.

1031313121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019804 (or 1019789 counting only the distinct ones).

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

Adding to 1031313121440 its reverse (441213131301), we get a palindrome (1472526252741).

The spelling of 1031313121440 in words is "one trillion, thirty-one billion, three hundred thirteen million, one hundred twenty-one thousand, four hundred forty".