202141313010 has 384 divisors, whose sum is σ = 666235874304. Its totient is φ = 41378273280.

The previous prime is 202141313009. The next prime is 202141313071. The reversal of 202141313010 is 10313141202.

202141313010 is a `hidden beast` number, since 20 + 214 + 131 + 301 + 0 = 666.

It is a super-2 number, since 2×202141313010² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139696107 + ... + 139697553.

It is an arithmetic number, because the mean of its divisors is an integer number (1734989256).

Almost surely, 2^202141313010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202141313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333117937152).

202141313010 is an abundant number, since it is smaller than the sum of its proper divisors (464094561294).

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

202141313010 is a wasteful number, since it uses less digits than its factorization.

202141313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202141313010 its reverse (10313141202), we get a palindrome (212454454212).

The spelling of 202141313010 in words is "two hundred two billion, one hundred forty-one million, three hundred thirteen thousand, ten".