31123120110000 has 400 divisors, whose sum is σ = 100924494823680. Its totient is φ = 8262011520000.

The previous prime is 31123120109999. The next prime is 31123120110011. The reversal of 31123120110000 is 1102132113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6466467594 + ... + 6466472406.

Almost surely, 2^{31123120110000} is an apocalyptic number.

31123120110000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123120110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50462247411840).

31123120110000 is an abundant number, since it is smaller than the sum of its proper divisors (69801374713680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31123120110000 is a wasteful number, since it uses less digits than its factorization.

31123120110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31123120110000 its reverse (1102132113), we get a palindrome (31124222242113).

The spelling of 31123120110000 in words is "thirty-one trillion, one hundred twenty-three billion, one hundred twenty million, one hundred ten thousand".