101041401131 has 48 divisors (see below), whose sum is σ = 116971126272. Its totient is φ = 86543001600.

The previous prime is 101041401121. The next prime is 101041401199. The reversal of 101041401131 is 131104140101.

It is not a de Polignac number, because 101041401131 - 2¹⁴ = 101041384747 is a prime.

It is a super-2 number, since 2×101041401131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101041401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157630571 + ... + 157631211.

It is an arithmetic number, because the mean of its divisors is an integer number (2436898464).

Almost surely, 2^101041401131 is an apocalyptic number.

101041401131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101041401131 is a deficient number, since it is larger than the sum of its proper divisors (15929725141).

101041401131 is a wasteful number, since it uses less digits than its factorization.

101041401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101041401131 its reverse (131104140101), we get a palindrome (232145541232).

The spelling of 101041401131 in words is "one hundred one billion, forty-one million, four hundred one thousand, one hundred thirty-one".