101131344401 has 2 divisors, whose sum is σ = 101131344402. Its totient is φ = 101131344400.

The previous prime is 101131344359. The next prime is 101131344467. The reversal of 101131344401 is 104443131101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66489201025 + 34642143376 = 257855^2 + 186124^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131344401 - 2²² = 101127150097 is a prime.

It is not a weakly prime, because it can be changed into another prime (101131344101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565672200 + 50565672201.

It is an arithmetic number, because the mean of its divisors is an integer number (50565672201).

Almost surely, 2^101131344401 is an apocalyptic number.

It is an amenable number.

101131344401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131344401 is an equidigital number, since it uses as much as digits as its factorization.

101131344401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101131344401 its reverse (104443131101), we get a palindrome (205574475502).

The spelling of 101131344401 in words is "one hundred one billion, one hundred thirty-one million, three hundred forty-four thousand, four hundred one".