31120010000101 has 32 divisors (see below), whose sum is σ = 34562027928960. Its totient is φ = 27785065651200.

The previous prime is 31120010000083. The next prime is 31120010000117. The reversal of 31120010000101 is 10100001002113.

It is not a de Polignac number, because 31120010000101 - 2²⁵ = 31119976445669 is a prime.

It is a super-3 number, since 3×31120010000101³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120010000201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86539411 + ... + 86898271.

It is an arithmetic number, because the mean of its divisors is an integer number (1080063372780).

Almost surely, 2^{31120010000101} is an apocalyptic number.

It is an amenable number.

31120010000101 is a deficient number, since it is larger than the sum of its proper divisors (3442017928859).

31120010000101 is a wasteful number, since it uses less digits than its factorization.

31120010000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359557.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 31120010000101 its reverse (10100001002113), we get a palindrome (41220011002214).

It can be divided in two parts, 311200 and 10000101, that added together give a palindrome (10311301).

The spelling of 31120010000101 in words is "thirty-one trillion, one hundred twenty billion, ten million, one hundred one", and thus it is an aban number.