1000000101013 has 2 divisors, whose sum is σ = 1000000101014. Its totient is φ = 1000000101012.

The previous prime is 1000000100909. The next prime is 1000000101131. The reversal of 1000000101013 is 3101010000001.

It is a happy number.

1000000101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 697228340004 + 302771761009 = 835002^2 + 550247^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000000101013 - 2²¹ = 999998003861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000000100987 and 1000000101005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000000111013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000050506 + 500000050507.

It is an arithmetic number, because the mean of its divisors is an integer number (500000050507).

Almost surely, 2^{1000000101013} is an apocalyptic number.

It is an amenable number.

1000000101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000000101013 is an equidigital number, since it uses as much as digits as its factorization.

1000000101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1000000101013 its reverse (3101010000001), we get a palindrome (4101010101014).

The spelling of 1000000101013 in words is "one trillion, one hundred one thousand, thirteen".