213002310211131 has 64 divisors (see below), whose sum is σ = 342520791367680. Its totient is φ = 115018640807040.

The previous prime is 213002310211127. The next prime is 213002310211151. The reversal of 213002310211131 is 131112013200312.

It is not a de Polignac number, because 213002310211131 - 2² = 213002310211127 is a prime.

It is a super-2 number, since 2×213002310211131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 213002310211098 and 213002310211107.

It is not an unprimeable number, because it can be changed into a prime (213002310211151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251977066 + ... + 252820976.

It is an arithmetic number, because the mean of its divisors is an integer number (5351887365120).

Almost surely, 2^{213002310211131} is an apocalyptic number.

213002310211131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213002310211131 is a deficient number, since it is larger than the sum of its proper divisors (129518481156549).

213002310211131 is a wasteful number, since it uses less digits than its factorization.

213002310211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845536.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213002310211131 its reverse (131112013200312), we get a palindrome (344114323411443).

The spelling of 213002310211131 in words is "two hundred thirteen trillion, two billion, three hundred ten million, two hundred eleven thousand, one hundred thirty-one".