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1331220131233 = 75716691105359
BaseRepresentation
bin10011010111110010111…
…001110010110110100001
311201021010000112102222221
4103113302321302312201
5133302314323144413
62455315403231041
7165114606262216
oct23276271626641
94637100472887
101331220131233
11473627071943
12195bbab18481
13986c21b1a85
1448607a83b0d
1524964c1468d
hex135f2e72da1

1331220131233 has 8 divisors (see below), whose sum is σ = 1333071192960. Its totient is φ = 1329369315120.

The previous prime is 1331220131183. The next prime is 1331220131273. The reversal of 1331220131233 is 3321310221331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331220131233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331220131198 and 1331220131207.

It is not an unprimeable number, because it can be changed into a prime (1331220131273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12582408 + ... + 12687766.

It is an arithmetic number, because the mean of its divisors is an integer number (166633899120).

Almost surely, 21331220131233 is an apocalyptic number.

It is an amenable number.

1331220131233 is a deficient number, since it is larger than the sum of its proper divisors (1851061727).

1331220131233 is a wasteful number, since it uses less digits than its factorization.

1331220131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122807.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1331220131233 its reverse (3321310221331), we get a palindrome (4652530352564).

The spelling of 1331220131233 in words is "one trillion, three hundred thirty-one billion, two hundred twenty million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 757 16691 105359 12635087 79756763 1758547069 1331220131233