31138085182801 has 27 divisors (see below), whose sum is σ = 32404273758129. Its totient is φ = 29920144685088.

The previous prime is 31138085182781. The next prime is 31138085182807. The reversal of 31138085182801 is 10828158083113.

The square root of 31138085182801 is 5580151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7745617779025 + 23392467403776 = 2783095^2 + 4836576^2 .

It is not a de Polignac number, because 31138085182801 - 2³³ = 31129495248209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31138085182807) 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, 51298327840 + ... + 51298328446.

Almost surely, 2^{31138085182801} is an apocalyptic number.

31138085182801 is the 5580151-st square number.

31138085182801 is the 2790076-th centered octagonal number.

It is an amenable number.

31138085182801 is a deficient number, since it is larger than the sum of its proper divisors (1266188575328).

31138085182801 is an frugal number, since it uses more digits than its factorization.

31138085182801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 31138085182801 in words is "thirty-one trillion, one hundred thirty-eight billion, eighty-five million, one hundred eighty-two thousand, eight hundred one".