133212113302131 has 32 divisors (see below), whose sum is σ = 199084994380800. Its totient is φ = 88031230570080.

The previous prime is 133212113302069. The next prime is 133212113302193. The reversal of 133212113302131 is 131203311212331.

133212113302131 is a `hidden beast` number, since 1 + 3 + 3 + 212 + 1 + 13 + 302 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (133212113302069) and next prime (133212113302193).

It is not a de Polignac number, because 133212113302131 - 2¹⁴ = 133212113285747 is a prime.

It is a super-2 number, since 2×133212113302131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133212113302095 and 133212113302104.

It is not an unprimeable number, because it can be changed into a prime (133212113302031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44766261 + ... + 47649158.

It is an arithmetic number, because the mean of its divisors is an integer number (6221406074400).

Almost surely, 2^{133212113302131} is an apocalyptic number.

133212113302131 is a deficient number, since it is larger than the sum of its proper divisors (65872881078669).

133212113302131 is a wasteful number, since it uses less digits than its factorization.

133212113302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92415896 (or 92415890 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133212113302131 its reverse (131203311212331), we get a palindrome (264415424514462).

The spelling of 133212113302131 in words is "one hundred thirty-three trillion, two hundred twelve billion, one hundred thirteen million, three hundred two thousand, one hundred thirty-one".