1012131120001 has 2 divisors, whose sum is σ = 1012131120002. Its totient is φ = 1012131120000.

The previous prime is 1012131119983. The next prime is 1012131120017. The reversal of 1012131120001 is 1000211312101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009783814400 + 2347305601 = 1004880^2 + 48449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012131120001 - 2¹¹ = 1012131117953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012131120061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506065560000 + 506065560001.

It is an arithmetic number, because the mean of its divisors is an integer number (506065560001).

Almost surely, 2^{1012131120001} is an apocalyptic number.

It is an amenable number.

1012131120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012131120001 is an equidigital number, since it uses as much as digits as its factorization.

1012131120001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1012131120001 its reverse (1000211312101), we get a palindrome (2012342432102).

The spelling of 1012131120001 in words is "one trillion, twelve billion, one hundred thirty-one million, one hundred twenty thousand, one".