213002414131 has 16 divisors (see below), whose sum is σ = 233632919520. Its totient is φ = 192988661760.

The previous prime is 213002414113. The next prime is 213002414147. The reversal of 213002414131 is 131414200312.

It is a cyclic number.

It is not a de Polignac number, because 213002414131 - 2¹⁹ = 213001889843 is a prime.

It is a super-2 number, since 2×213002414131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213002414431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288211 + ... + 713491.

It is an arithmetic number, because the mean of its divisors is an integer number (14602057470).

Almost surely, 2^213002414131 is an apocalyptic number.

213002414131 is a deficient number, since it is larger than the sum of its proper divisors (20630505389).

213002414131 is a wasteful number, since it uses less digits than its factorization.

213002414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426006.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213002414131 its reverse (131414200312), we get a palindrome (344416614443).

The spelling of 213002414131 in words is "two hundred thirteen billion, two million, four hundred fourteen thousand, one hundred thirty-one".