101334200042131 has 12 divisors (see below), whose sum is σ = 117884400870672. Its totient is φ = 86853581385648.

The previous prime is 101334200042093. The next prime is 101334200042177. The reversal of 101334200042131 is 131240002433101.

It is not a de Polignac number, because 101334200042131 - 2¹⁷ = 101334199911059 is a prime.

It is a super-2 number, since 2×101334200042131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101334200042096 and 101334200042105.

It is not an unprimeable number, because it can be changed into a prime (101334200042431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50243380 + ... + 52221313.

It is an arithmetic number, because the mean of its divisors is an integer number (9823700072556).

Almost surely, 2^{101334200042131} is an apocalyptic number.

101334200042131 is a deficient number, since it is larger than the sum of its proper divisors (16550200828541).

101334200042131 is a wasteful number, since it uses less digits than its factorization.

101334200042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102484890 (or 102484883 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101334200042131 its reverse (131240002433101), we get a palindrome (232574202475232).

The spelling of 101334200042131 in words is "one hundred one trillion, three hundred thirty-four billion, two hundred million, forty-two thousand, one hundred thirty-one".