1013032021120 has 192 divisors, whose sum is σ = 2818681270200. Its totient is φ = 347139244032.

The previous prime is 1013032021097. The next prime is 1013032021129. The reversal of 1013032021120 is 211202303101.

It can be written as a sum of positive squares in 4 ways, for example, as 901299599424 + 111732421696 = 949368^2 + 334264^2 .

It is a super-3 number, since 3×1013032021120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1013032021094 and 1013032021103.

It is not an unprimeable number, because it can be changed into a prime (1013032021129) 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, 66757854 + ... + 66773026.

Almost surely, 2^{1013032021120} is an apocalyptic number.

1013032021120 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 1013032021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409340635100).

1013032021120 is an abundant number, since it is smaller than the sum of its proper divisors (1805649249080).

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

1013032021120 is a wasteful number, since it uses less digits than its factorization.

1013032021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335 (or 17316 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1013032021120 its reverse (211202303101), we get a palindrome (1224234324221).

The spelling of 1013032021120 in words is "one trillion, thirteen billion, thirty-two million, twenty-one thousand, one hundred twenty".