1031021013120 has 256 divisors, whose sum is σ = 3808765255680. Its totient is φ = 232342548480.

The previous prime is 1031021013091. The next prime is 1031021013161. The reversal of 1031021013120 is 213101201301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1031021013120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414009 + ... + 1494471.

It is an arithmetic number, because the mean of its divisors is an integer number (14877989280).

Almost surely, 2^{1031021013120} is an apocalyptic number.

1031021013120 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 1031021013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904382627840).

1031021013120 is an abundant number, since it is smaller than the sum of its proper divisors (2777744242560).

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

1031021013120 is a wasteful number, since it uses less digits than its factorization.

1031021013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080563 (or 1080551 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1031021013120 its reverse (213101201301), we get a palindrome (1244122214421).

The spelling of 1031021013120 in words is "one trillion, thirty-one billion, twenty-one million, thirteen thousand, one hundred twenty".