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1310301100031 = 71121546990673
BaseRepresentation
bin10011000100010100000…
…010000001011111111111
311122021010010200112221112
4103010110002001133333
5132431444040200111
62441535523552235
7163444324404110
oct23042402013777
94567103615845
101310301100031
114657718a2100
12191b4122b67b
139673a2a92c1
14475c16ca207
152413d45ce8b
hex131140817ff

1310301100031 has 12 divisors (see below), whose sum is σ = 1645998077136. Its totient is φ = 1021013843520.

The previous prime is 1310301099997. The next prime is 1310301100189. The reversal of 1310301100031 is 1300011030131.

It is a happy number.

It is not a de Polignac number, because 1310301100031 - 214 = 1310301083647 is a prime.

It is a super-2 number, since 2×13103011000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310301099979 and 1310301100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310301100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773494490 + ... + 773496183.

It is an arithmetic number, because the mean of its divisors is an integer number (137166506428).

Almost surely, 21310301100031 is an apocalyptic number.

1310301100031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310301100031 is a deficient number, since it is larger than the sum of its proper divisors (335696977105).

1310301100031 is a wasteful number, since it uses less digits than its factorization.

1310301100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546990702 (or 1546990691 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1310301100031 its reverse (1300011030131), we get a palindrome (2610312130162).

The spelling of 1310301100031 in words is "one trillion, three hundred ten billion, three hundred one million, one hundred thousand, thirty-one".

Divisors: 1 7 11 77 121 847 1546990673 10828934711 17016897403 119118281821 187185871433 1310301100031