1010301133312 has 80 divisors (see below), whose sum is σ = 2031583106520. Its totient is φ = 501912666112.

The previous prime is 1010301133291. The next prime is 1010301133319. The reversal of 1010301133312 is 2133311030101.

It can be written as a sum of positive squares in 4 ways, for example, as 993259397376 + 17041735936 = 996624^2 + 130544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010301133312.

It is not an unprimeable number, because it can be changed into a prime (1010301133319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206645364 + ... + 206650252.

Almost surely, 2^{1010301133312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010301133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015791553260).

1010301133312 is an abundant number, since it is smaller than the sum of its proper divisors (1021281973208).

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

1010301133312 is an equidigital number, since it uses as much as digits as its factorization.

1010301133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1010301133312 its reverse (2133311030101), we get a palindrome (3143612163413).

The spelling of 1010301133312 in words is "one trillion, ten billion, three hundred one million, one hundred thirty-three thousand, three hundred twelve".