10133311212320 has 96 divisors (see below), whose sum is σ = 24016131644400. Its totient is φ = 4040433008640.

The previous prime is 10133311212289. The next prime is 10133311212371. The reversal of 10133311212320 is 2321211333101.

It can be written as a sum of positive squares in 8 ways, for example, as 9428510665744 + 704800546576 = 3070588^2 + 839524^2 .

It is a super-2 number, since 2×10133311212320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187651244 + ... + 187705236.

Almost surely, 2^{10133311212320} is an apocalyptic number.

10133311212320 is a gapful number since it is divisible by the number (10) 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 10133311212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008065822200).

10133311212320 is an abundant number, since it is smaller than the sum of its proper divisors (13882820432080).

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

10133311212320 is a wasteful number, since it uses less digits than its factorization.

10133311212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57718 (or 57710 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10133311212320 its reverse (2321211333101), we get a palindrome (12454522545421).

The spelling of 10133311212320 in words is "ten trillion, one hundred thirty-three billion, three hundred eleven million, two hundred twelve thousand, three hundred twenty".