1001131020200 has 48 divisors (see below), whose sum is σ = 2328213244860. Its totient is φ = 400352000000.

The previous prime is 1001131020191. The next prime is 1001131020257. The reversal of 1001131020200 is 20201311001.

It can be written as a sum of positive squares in 6 ways, for example, as 245403325924 + 755727694276 = 495382^2 + 869326^2 .

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, 174650 + ... + 1425750.

Almost surely, 2^{1001131020200} is an apocalyptic number.

1001131020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001131020200 is an abundant number, since it is smaller than the sum of its proper divisors (1327082224660).

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

1001131020200 is a wasteful number, since it uses less digits than its factorization.

1001131020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255118 (or 1255109 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1001131020200 its reverse (20201311001), we get a palindrome (1021332331201).

The spelling of 1001131020200 in words is "one trillion, one billion, one hundred thirty-one million, twenty thousand, two hundred".