201323413311400 has 96 divisors (see below), whose sum is σ = 496584572859000. Its totient is φ = 75643438776320.

The previous prime is 201323413311353. The next prime is 201323413311403. The reversal of 201323413311400 is 4113314323102.

It can be written as a sum of positive squares in 12 ways, for example, as 92419036164324 + 108904377147076 = 9613482^2 + 10435726^2 .

It is a super-2 number, since 2×201323413311400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201323413311403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56435185 + ... + 59896384.

Almost surely, 2^{201323413311400} is an apocalyptic number.

201323413311400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201323413311400 is an abundant number, since it is smaller than the sum of its proper divisors (295261159547600).

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

201323413311400 is a wasteful number, since it uses less digits than its factorization.

201323413311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116332111 (or 116332102 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 201323413311400 its reverse (4113314323102), we get a palindrome (205436727634502).

The spelling of 201323413311400 in words is "two hundred one trillion, three hundred twenty-three billion, four hundred thirteen million, three hundred eleven thousand, four hundred".