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131201021332031 = 728573460790281
BaseRepresentation
bin11101110101001110011110…
…010001010100101000111111
3122012112200202202112102220112
4131311032132101110220333
5114144044142430111111
61143012530033140235
736430650421453100
oct3565163621245077
9565480682472815
10131201021332031
113889404a158182
121286b7786ba67b
135829284638871
1424582401c83a7
151027c8dc7ae8b
hex77539e454a3f

131201021332031 has 24 divisors (see below), whose sum is σ = 152805792275136. Its totient is φ = 112322305455360.

The previous prime is 131201021332013. The next prime is 131201021332097. The reversal of 131201021332031 is 130233120102131.

It is not a de Polignac number, because 131201021332031 - 26 = 131201021331967 is a prime.

It is a super-2 number, since 2×1312010213320312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131201021331988 and 131201021332006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201021332331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453206611 + ... + 1453296891.

It is an arithmetic number, because the mean of its divisors is an integer number (6366908011464).

Almost surely, 2131201021332031 is an apocalyptic number.

131201021332031 is a deficient number, since it is larger than the sum of its proper divisors (21604770943105).

131201021332031 is an equidigital number, since it uses as much as digits as its factorization.

131201021332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125759 (or 125752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131201021332031 its reverse (130233120102131), we get a palindrome (261434141434162).

The spelling of 131201021332031 in words is "one hundred thirty-one trillion, two hundred one billion, twenty-one million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 7 49 857 5999 34607 41993 90281 242249 631967 1695743 4423769 29658199 77370817 207607393 541595719 1453251751 3124354567 3791170033 21870481969 153093373783 2677571863919 18743003047433 131201021332031