31123131311133 has 8 divisors (see below), whose sum is σ = 46108342683200. Its totient is φ = 20748754207404.

The previous prime is 31123131311093. The next prime is 31123131311137. The reversal of 31123131311133 is 33111313132113.

31123131311133 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 313 + 1 + 311 + 1 + 33 = 666.

It is not a de Polignac number, because 31123131311133 - 2¹⁷ = 31123131180061 is a prime.

It is a super-2 number, since 2×31123131311133² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1152708567079 = 31123131311133 / (3 + 1 + 1 + 2 + 3 + 1 + 3 + 1 + 3 + 1 + 1 + 1 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31123131311097 and 31123131311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123131311137) 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, 576354283513 + ... + 576354283566.

It is an arithmetic number, because the mean of its divisors is an integer number (5763542835400).

Almost surely, 2^{31123131311133} is an apocalyptic number.

It is an amenable number.

31123131311133 is a deficient number, since it is larger than the sum of its proper divisors (14985211372067).

31123131311133 is a wasteful number, since it uses less digits than its factorization.

31123131311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152708567088 (or 1152708567082 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 31123131311133 its reverse (33111313132113), we get a palindrome (64234444443246).

The spelling of 31123131311133 in words is "thirty-one trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirty-three".