101341141122331 has 32 divisors (see below), whose sum is σ = 114781876277760. Its totient is φ = 88662055219200.

The previous prime is 101341141122329. The next prime is 101341141122349. The reversal of 101341141122331 is 133221141143101.

It is a cyclic number.

It is not a de Polignac number, because 101341141122331 - 2¹ = 101341141122329 is a prime.

It is a super-2 number, since 2×101341141122331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101341141122331.

It is not an unprimeable number, because it can be changed into a prime (101341141122931) 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, 26099730 + ... + 29730088.

It is an arithmetic number, because the mean of its divisors is an integer number (3586933633680).

Almost surely, 2^{101341141122331} is an apocalyptic number.

101341141122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101341141122331 is a deficient number, since it is larger than the sum of its proper divisors (13440735155429).

101341141122331 is a wasteful number, since it uses less digits than its factorization.

101341141122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631155.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 101341141122331 its reverse (133221141143101), we get a palindrome (234562282265432).

The spelling of 101341141122331 in words is "one hundred one trillion, three hundred forty-one billion, one hundred forty-one million, one hundred twenty-two thousand, three hundred thirty-one".