1311783010101 has 18 divisors (see below), whose sum is σ = 1957891893750. Its totient is φ = 846311613840.

The previous prime is 1311783010081. The next prime is 1311783010147. The reversal of 1311783010101 is 1010103871131.

It can be written as a sum of positive squares in only one way, i.e., 816807443076 + 494975567025 = 903774^2 + 703545^2 .

It is not a de Polignac number, because 1311783010101 - 2¹³ = 1311783001909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311783011101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75825726 + ... + 75843023.

It is an arithmetic number, because the mean of its divisors is an integer number (108771771875).

Almost surely, 2^{1311783010101} is an apocalyptic number.

It is an amenable number.

1311783010101 is a deficient number, since it is larger than the sum of its proper divisors (646108883649).

1311783010101 is a wasteful number, since it uses less digits than its factorization.

1311783010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151668817 (or 151668783 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 1311783010101 its reverse (1010103871131), we get a palindrome (2321886881232).

The spelling of 1311783010101 in words is "one trillion, three hundred eleven billion, seven hundred eighty-three million, ten thousand, one hundred one".