202013131320 has 1536 divisors, whose sum is σ = 920215296000. Its totient is φ = 37085921280.

The previous prime is 202013131267. The next prime is 202013131343. The reversal of 202013131320 is 23131310202.

202013131320 is a `hidden beast` number, since 20 + 201 + 313 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202013131293 and 202013131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1453331811 + ... + 1453331949.

It is an arithmetic number, because the mean of its divisors is an integer number (599098500).

Almost surely, 2^202013131320 is an apocalyptic number.

202013131320 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 202013131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460107648000).

202013131320 is an abundant number, since it is smaller than the sum of its proper divisors (718202164680).

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

202013131320 is a wasteful number, since it uses less digits than its factorization.

202013131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202013131320 its reverse (23131310202), we get a palindrome (225144441522).

It can be divided in two parts, 202013 and 131320, that added together give a palindrome (333333).

The spelling of 202013131320 in words is "two hundred two billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".