1131885337801 has 27 divisors (see below), whose sum is σ = 1168770262023. Its totient is φ = 1096158478320.

The previous prime is 1131885337787. The next prime is 1131885337853. The reversal of 1131885337801 is 1087335881311.

The square root of 1131885337801 is 1063901.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36806806201 + 1095078531600 = 191851^2 + 1046460^2 .

It is not a de Polignac number, because 1131885337801 - 2¹¹ = 1131885335753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131885337301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6944081746 + ... + 6944081908.

Almost surely, 2^{1131885337801} is an apocalyptic number.

1131885337801 is the 1063901-st square number.

1131885337801 is the 531951-st centered octagonal number.

It is an amenable number.

1131885337801 is a deficient number, since it is larger than the sum of its proper divisors (36884924222).

1131885337801 is an frugal number, since it uses more digits than its factorization.

1131885337801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 1131885337801 by its sum of digits (49), we get a square (55462381552249 = 7447307²).

The spelling of 1131885337801 in words is "one trillion, one hundred thirty-one billion, eight hundred eighty-five million, three hundred thirty-seven thousand, eight hundred one".