10310133211332 has 96 divisors (see below), whose sum is σ = 25598367849600. Its totient is φ = 3218556321792.

The previous prime is 10310133211319. The next prime is 10310133211363. The reversal of 10310133211332 is 23311233101301.

It is a super-3 number, since 3×10310133211332³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33323844 + ... + 33631812.

It is an arithmetic number, because the mean of its divisors is an integer number (266649665100).

Almost surely, 2^{10310133211332} is an apocalyptic number.

10310133211332 is a gapful number since it is divisible by the number (12) 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 10310133211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799183924800).

10310133211332 is an abundant number, since it is smaller than the sum of its proper divisors (15288234638268).

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

10310133211332 is a wasteful number, since it uses less digits than its factorization.

10310133211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308805 (or 308803 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10310133211332 its reverse (23311233101301), we get a palindrome (33621366312633).

The spelling of 10310133211332 in words is "ten trillion, three hundred ten billion, one hundred thirty-three million, two hundred eleven thousand, three hundred thirty-two".