31133211233072 has 80 divisors (see below), whose sum is σ = 65531887690752. Its totient is φ = 14243022581760.

The previous prime is 31133211233071. The next prime is 31133211233147. The reversal of 31133211233072 is 27033211233113.

It is not an unprimeable number, because it can be changed into a prime (31133211233071) 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, 28441172 + ... + 29515532.

Almost surely, 2^{31133211233072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133211233072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765943845376).

31133211233072 is an abundant number, since it is smaller than the sum of its proper divisors (34398676457680).

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

31133211233072 is a wasteful number, since it uses less digits than its factorization.

31133211233072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075606 (or 1075600 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 31133211233072 its reverse (27033211233113), we get a palindrome (58166422466185).

The spelling of 31133211233072 in words is "thirty-one trillion, one hundred thirty-three billion, two hundred eleven million, two hundred thirty-three thousand, seventy-two".