10310133113120 has 48 divisors (see below), whose sum is σ = 24358524414840. Its totient is φ = 4123911880704.

The previous prime is 10310133113107. The next prime is 10310133113167. The reversal of 10310133113120 is 2131133101301.

It can be written as a sum of positive squares in 4 ways, for example, as 6306788414224 + 4003344698896 = 2511332^2 + 2000836^2 .

It is a super-2 number, since 2×10310133113120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10310133113092 and 10310133113101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3641414 + ... + 5820666.

Almost surely, 2^{10310133113120} is an apocalyptic number.

10310133113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310133113120 is an abundant number, since it is smaller than the sum of its proper divisors (14048391301720).

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

10310133113120 is a wasteful number, since it uses less digits than its factorization.

10310133113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208837 (or 2208829 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10310133113120 its reverse (2131133101301), we get a palindrome (12441266214421).

The spelling of 10310133113120 in words is "ten trillion, three hundred ten billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".