1020133131012 has 96 divisors (see below), whose sum is σ = 2802332332800. Its totient is φ = 319816982016.

The previous prime is 1020133131007. The next prime is 1020133131049. The reversal of 1020133131012 is 2101313310201.

1020133131012 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 331 + 310 + 1 + 2 = 666.

It is a super-2 number, since 2×1020133131012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429233 + ... + 2818055.

It is an arithmetic number, because the mean of its divisors is an integer number (29190961800).

Almost surely, 2^{1020133131012} is an apocalyptic number.

1020133131012 is a gapful number since it is divisible by the number (12) 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 1020133131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401166166400).

1020133131012 is an abundant number, since it is smaller than the sum of its proper divisors (1782199201788).

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

1020133131012 is a wasteful number, since it uses less digits than its factorization.

1020133131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390282 (or 390274 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1020133131012 its reverse (2101313310201), we get a palindrome (3121446441213).

The spelling of 1020133131012 in words is "one trillion, twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, twelve".