106100213131 has 16 divisors (see below), whose sum is σ = 122521512960. Its totient is φ = 90962917920.

The previous prime is 106100213113. The next prime is 106100213137. The reversal of 106100213131 is 131312001601.

It is a cyclic number.

It is not a de Polignac number, because 106100213131 - 2¹¹ = 106100211083 is a prime.

It is a super-2 number, since 2×106100213131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106100213099 and 106100213108.

It is not an unprimeable number, because it can be changed into a prime (106100213137) 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, 3853755 + ... + 3881188.

It is an arithmetic number, because the mean of its divisors is an integer number (7657594560).

Almost surely, 2^106100213131 is an apocalyptic number.

106100213131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106100213131 is a deficient number, since it is larger than the sum of its proper divisors (16421299829).

106100213131 is a wasteful number, since it uses less digits than its factorization.

106100213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735026.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 106100213131 its reverse (131312001601), we get a palindrome (237412214732).

The spelling of 106100213131 in words is "one hundred six billion, one hundred million, two hundred thirteen thousand, one hundred thirty-one".