202113322000 has 160 divisors (see below), whose sum is σ = 496770285024. Its totient is φ = 79522560000.

The previous prime is 202113321989. The next prime is 202113322001. The reversal of 202113322000 is 223311202.

It can be written as a sum of positive squares in 16 ways, for example, as 70875218176 + 131238103824 = 266224^2 + 362268^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202113322001) 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, 31710814 + ... + 31717186.

Almost surely, 2^202113322000 is an apocalyptic number.

202113322000 is a gapful number since it is divisible by the number (20) 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 202113322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248385142512).

202113322000 is an abundant number, since it is smaller than the sum of its proper divisors (294656963024).

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

202113322000 is a wasteful number, since it uses less digits than its factorization.

202113322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202113322000 its reverse (223311202), we get a palindrome (202336633202).

The spelling of 202113322000 in words is "two hundred two billion, one hundred thirteen million, three hundred twenty-two thousand".