1010111300001 has 6 divisors (see below), whose sum is σ = 1459049655570. Its totient is φ = 673407533328.

The previous prime is 1010111299997. The next prime is 1010111300017. The reversal of 1010111300001 is 1000031110101.

1010111300001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 993211560000 + 16899740001 = 996600^2 + 129999^2 .

It is not a de Polignac number, because 1010111300001 - 2² = 1010111299997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112234588889 = 1010111300001 / (1 + 0 + 1 + 0 + 1 + 1 + 1 + 3 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1010111305001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56117294436 + ... + 56117294453.

It is an arithmetic number, because the mean of its divisors is an integer number (243174942595).

Almost surely, 2^{1010111300001} is an apocalyptic number.

It is an amenable number.

1010111300001 is a deficient number, since it is larger than the sum of its proper divisors (448938355569).

1010111300001 is a wasteful number, since it uses less digits than its factorization.

1010111300001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112234588895 (or 112234588892 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1010111300001 its reverse (1000031110101), we get a palindrome (2010142410102).

The spelling of 1010111300001 in words is "one trillion, ten billion, one hundred eleven million, three hundred thousand, one".