31123131101 has 16 divisors (see below), whose sum is σ = 32494166016. Its totient is φ = 29776950000.

The previous prime is 31123131059. The next prime is 31123131103. The reversal of 31123131101 is 10113132113.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31123131101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31123131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123131103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971936 + ... + 1003446.

It is an arithmetic number, because the mean of its divisors is an integer number (2030885376).

Almost surely, 2^31123131101 is an apocalyptic number.

31123131101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31123131101 is a deficient number, since it is larger than the sum of its proper divisors (1371034915).

31123131101 is a wasteful number, since it uses less digits than its factorization.

31123131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 31123131101 its reverse (10113132113), we get a palindrome (41236263214).

The spelling of 31123131101 in words is "thirty-one billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred one".