101321211332133 has 24 divisors (see below), whose sum is σ = 157611158420352. Its totient is φ = 62351362264608.

The previous prime is 101321211332129. The next prime is 101321211332239. The reversal of 101321211332133 is 331233112123101.

101321211332133 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 2 + 1 + 1 + 332 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 101321211332133 - 2² = 101321211332129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101321211332097 and 101321211332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321211332113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64067560 + ... + 65629982.

It is an arithmetic number, because the mean of its divisors is an integer number (6567131600848).

Almost surely, 2^{101321211332133} is an apocalyptic number.

101321211332133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101321211332133 is a deficient number, since it is larger than the sum of its proper divisors (56289947088219).

101321211332133 is a wasteful number, since it uses less digits than its factorization.

101321211332133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116705 (or 2116702 counting only the distinct ones).

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

Adding to 101321211332133 its reverse (331233112123101), we get a palindrome (432554323455234).

The spelling of 101321211332133 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred eleven million, three hundred thirty-two thousand, one hundred thirty-three".