1010301133120 has 28 divisors (see below), whose sum is σ = 2405779574004. Its totient is φ = 404120453120.

The previous prime is 1010301133117. The next prime is 1010301133159. The reversal of 1010301133120 is 213311030101.

It can be written as a sum of positive squares in 2 ways, for example, as 407156295744 + 603144837376 = 638088^2 + 776624^2 .

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 = 1010301133094 and 1010301133103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1578595201 + ... + 1578595840.

Almost surely, 2^{1010301133120} is an apocalyptic number.

1010301133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010301133120 is an abundant number, since it is smaller than the sum of its proper divisors (1395478440884).

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

1010301133120 is an equidigital number, since it uses as much as digits as its factorization.

1010301133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157191058 (or 3157191048 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1010301133120 its reverse (213311030101), we get a palindrome (1223612163221).

The spelling of 1010301133120 in words is "one trillion, ten billion, three hundred one million, one hundred thirty-three thousand, one hundred twenty".