31131073601 has 8 divisors (see below), whose sum is σ = 31422379560. Its totient is φ = 30840945408.

The previous prime is 31131073577. The next prime is 31131073619. The reversal of 31131073601 is 10637013113.

It is a Cunningham number, because it is equal to 176440²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 8394957376 + 22736116225 = 91624^2 + 150785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31131073601 - 2¹⁸ = 31130811457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31131073681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241286 + ... + 347103.

It is an arithmetic number, because the mean of its divisors is an integer number (3927797445).

Almost surely, 2^31131073601 is an apocalyptic number.

It is an amenable number.

31131073601 is a deficient number, since it is larger than the sum of its proper divisors (291305959).

31131073601 is a wasteful number, since it uses less digits than its factorization.

31131073601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588883.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 31131073601 its reverse (10637013113), we get a palindrome (41768086714).

The spelling of 31131073601 in words is "thirty-one billion, one hundred thirty-one million, seventy-three thousand, six hundred one".