1001131201300 has 36 divisors (see below), whose sum is σ = 2173971036636. Its totient is φ = 400172972800.

The previous prime is 1001131201247. The next prime is 1001131201307. The reversal of 1001131201300 is 31021311001.

It can be written as a sum of positive squares in 6 ways, for example, as 79404476944 + 921726724356 = 281788^2 + 960066^2 .

It is a super-2 number, since 2×1001131201300² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001131201307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3349831 + ... + 3636430.

It is an arithmetic number, because the mean of its divisors is an integer number (60388084351).

Almost surely, 2^{1001131201300} is an apocalyptic number.

1001131201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001131201300 is an abundant number, since it is smaller than the sum of its proper divisors (1172839835336).

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

1001131201300 is a wasteful number, since it uses less digits than its factorization.

1001131201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987708 (or 6987701 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1001131201300 its reverse (31021311001), we get a palindrome (1032152512301).

The spelling of 1001131201300 in words is "one trillion, one billion, one hundred thirty-one million, two hundred one thousand, three hundred".