1051300413200 has 60 divisors (see below), whose sum is σ = 2538836212788. Its totient is φ = 418341273600.

The previous prime is 1051300413139. The next prime is 1051300413221. The reversal of 1051300413200 is 23140031501.

1051300413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 130867403536 + 920433009664 = 361756^2 + 959392^2 .

It is a super-2 number, since 2×1051300413200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6731741 + ... + 6886140.

Almost surely, 2^{1051300413200} is an apocalyptic number.

1051300413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051300413200 is an abundant number, since it is smaller than the sum of its proper divisors (1487535799588).

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

1051300413200 is a wasteful number, since it uses less digits than its factorization.

1051300413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13618092 (or 13618081 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1051300413200 its reverse (23140031501), we get a palindrome (1074440444701).

The spelling of 1051300413200 in words is "one trillion, fifty-one billion, three hundred million, four hundred thirteen thousand, two hundred".