1031313413130 has 1024 divisors, whose sum is σ = 3669535457280. Its totient is φ = 178362777600.

The previous prime is 1031313413111. The next prime is 1031313413173. The reversal of 1031313413130 is 313143131301.

It is a super-2 number, since 2×1031313413130² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1031313413130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1341109386 + ... + 1341110154.

It is an arithmetic number, because the mean of its divisors is an integer number (3583530720).

Almost surely, 2^{1031313413130} is an apocalyptic number.

1031313413130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031313413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834767728640).

1031313413130 is an abundant number, since it is smaller than the sum of its proper divisors (2638222044150).

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

1031313413130 is a wasteful number, since it uses less digits than its factorization.

1031313413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1031313413130 its reverse (313143131301), we get a palindrome (1344456544431).

The spelling of 1031313413130 in words is "one trillion, thirty-one billion, three hundred thirteen million, four hundred thirteen thousand, one hundred thirty".